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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.25*(1+0.5x)*(1.27+0.3x) = 1 .
    Question type: Equation
    Solution:Original question:
     
1
4
(1 +
1
2
x )(
127
100
+
3
10
x ) = 1
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
4
× 1(
127
100
+
3
10
x ) +
1
4
×
1
2
x (
127
100
+
3
10
x )
                                             =
1
4
(
127
100
+
3
10
x ) +
1
8
x (
127
100
+
3
10
x )
                                             =
1
4
×
127
100
+
1
4
×
3
10
x +
1
8
x (
127
100
+
3
10
x )
                                             =
127
400
+
3
40
x +
1
8
x (
127
100
+
3
10
x )
                                             =
127
400
+
3
40
x +
1
8
x ×
127
100
+
1
8
x ×
3
10
x
                                             =
127
400
+
3
40
x +
127
800
x +
3
80
x x
                                             =
127
400
+
187
800
x +
3
80
x x
    The equation is transformed into :
     
127
400
+
187
800
x +
3
80
x x = 1

    After the equation is converted into a general formula, it is converted into:
    ( 5x + 42 )( 6x - 13 )=0
    From
        5x + 42 = 0
        6x - 13 = 0

    it is concluded that::
        x1=-
42
5
        x2=
13
6
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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